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Finding the Third Proportional to 7,609,938 and 17,759,823

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Solution

The third proportional to 7,609,938 and 17,759,823 is: 41,447,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609,938 : 17,759,823 = 17,759,823 : x
  2. Step 2: Convert to fraction form
    7,609,938/17,759,823 = 17,759,823/x
  3. Step 3: Cross multiply
    7,609,938x = 17,759,823 × 17,759,823
  4. Step 4: Simplify right side
    7,609,938x = 315,411,312,991,329
  5. Step 5: Solve for x
    x = 315,411,312,991,329/7,609,938
  6. Step 6: Final answer
    x = 41,447,290.77

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.